## FANDOM

2,497 Pages

Tricky Digits is a puzzle in Professor Layton and the Diabolical Box.

## Puzzle

Two cards sit on a table. Each has a different single-digit number written on it. When set side by side, they form a two-digit number. Then, by flipping their order, you can make another two-digit number. Adding the total from these two two-digit numbers gives you one of the totals shown below. Which one is it?

## Hints

Click a Tab to reveal the Hint.

Once you see the pattern that runs through this puzzle, it's not very difficult to solve.

US Version

15+51=66
34+43=77
53+35=88

So is the pattern clear yet?

UK Version

15 + 51 = 66
34 + 43 = 77
53 + 35 = 88

Is the pattern clear yet?

Isn't it funny how adding a two-digit number to another two-digit number with reversed digits always gives you a sum that's a multiple of 11?

## Solution

### Incorrect

Too bad!

US Version

Think hard about the clues you've been given and try again.

UK Version

Think hard about the puzzle and try again.

### Correct

Good job!

US Version

12+21=33
35+53=88

As you can see, the sum of two two-digit numbers with inverted digits is always a multiple of 11. Of the six options presented, the only multiple of 11 is 44.

UK Version

12 + 21 = 33
35 + 53 = 88

As you can see, the sum of two two-digit numbers with inverted digits is always a multiple of 11. Of the six options presented, the only multiple of 11 is 44.

A big thanks to http://professorlayton2walkthrough.blogspot.com

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